Discreteness and rationality of F-thresholds

Discreteness and rationality of F-thresholds
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F阈值的离散性和合理性

DOI:
10.1307/mmj/1220879396
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发表时间:
2006
影响因子:
0.9
通讯作者:
Karen E. Smith
Karen E. Smith
中科院分区:
数学3区
文献类型:
--
作者:
Manuel Blickle;Mircea Mustactva;Karen E. Smith

文献摘要

被引文献

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F-阈值是特征零中的乘数理想的跳跃系数的特征p模拟。本文给出了正则F-有限环R$中理想的F-阈值的另一种描述。这使我们能够解决两个悬而未决的问题提出[Mustata,Takagi,Watanabe:F-阈值和Bernstein-Sato多项式],即我们表明,F-阈值是合理的和离散的。
The F-thresholds are characteristic p analogs of the jumping coefficients for multiplier ideals in characteristic zero. In this article we give an alternative description of the F-thresholds of an ideal in a regular and F--finite ring $R$. This enables us to settle two open questions posed in [Mustata, Takagi, Watanabe: F-thresholds and Bernstein-Sato polynomials], namely we show that the F-thresholds are rational and discrete.